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342509049 = 323121992
BaseRepresentation
bin10100011010100…
…100010111111001
3212212111021002100
4110122210113321
51200140242144
653553054013
711326164441
oct2432442771
9785437070
10342509049
11166379133
1296857309
1355c6269c
14336bb121
1520109269
hex146a45f9

342509049 has 27 divisors (see below), whose sum is σ = 513791109. Its totient is φ = 219863160.

The previous prime is 342509023. The next prime is 342509059. The reversal of 342509049 is 940905243.

The square root of 342509049 is 18507.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 342509049 - 25 = 342509017 is a prime.

It is a super-3 number, since 3×3425090493 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (342509059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1721052 + ... + 1721250.

Almost surely, 2342509049 is an apocalyptic number.

342509049 is the 18507-th square number.

342509049 is the 9254-th centered octagonal number.

It is an amenable number.

342509049 is a deficient number, since it is larger than the sum of its proper divisors (171282060).

342509049 is an equidigital number, since it uses as much as digits as its factorization.

342509049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 342509049 is about 699.6658602542.

Multiplying 342509049 by its sum of digits (36), we get a square (12330325764 = 1110422).

The spelling of 342509049 in words is "three hundred forty-two million, five hundred nine thousand, forty-nine".

Divisors: 1 3 9 31 93 199 279 597 961 1791 2883 6169 8649 18507 39601 55521 118803 191239 356409 573717 1227631 1721151 3682893 11048679 38056561 114169683 342509049